Question : The greater of the two numbers whose product is 900 and whose sum exceeds their difference by 30 is:

Option 1: 60

Option 2: 75

Option 3: 90

Option 4: 100

Question : If $x=\frac{3}{2}$, then the value of $27x^{3}-54x^{2}+36x-11$ is:

Option 1: $11\frac{3}{8}$

Option 2: $11\frac{5}{8}$

Option 3: $12\frac{3}{8}$

Option 4: $12\frac{5}{8}$

Question : The product of two positive integers is 2048, and one of them is twice the other. The smaller number is:

Option 1: 32

Option 2: 64

Option 3: 16

Option 4: 1024

Question : The product of two positive integers is 2048 and one of them is twice the other. The smaller number is:

Option 1: 32

Option 2: 64

Option 3: 16

Option 4: 1024

Question : Find the value of the given expression:
$10 \div 5 × 1+3 - [8 - \{5 - (7 - 7 - 9)\}]$

Option 1: 11

Option 2: 10

Option 3: 9

Option 4: 8